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Simplifying 4t + 13 = 8t + -23 Reorder the terms: 13 + 4t = 8t + -23 Reorder the terms: 13 + 4t = -23 + 8t Solving 13 + 4t = -23 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 13 + 4t + -8t = -23 + 8t + -8t Combine like terms: 4t + -8t = -4t 13 + -4t = -23 + 8t + -8t Combine like terms: 8t + -8t = 0 13 + -4t = -23 + 0 13 + -4t = -23 Add '-13' to each side of the equation. 13 + -13 + -4t = -23 + -13 Combine like terms: 13 + -13 = 0 0 + -4t = -23 + -13 -4t = -23 + -13 Combine like terms: -23 + -13 = -36 -4t = -36 Divide each side by '-4'. t = 9 Simplifying t = 9
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